2^1100???

Your professor prepared a rigorous 150-question final exam to be completed in under 30 minutes, but unfortunately, he seems to have misplaced it, and can only remember one problem. So, he has decided to waive your final exam, if you can answer the one question he can remember from his original exam.

Which is greater, 2^1100 or 3^700? Approximately how many times greater is it (to the nearest 10)?

Hint

The numbers are too big to deal with on a normal graphics calculator scale, think of it in terms of powers of ten.Hide